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Popular >

simplify \sqrt[5]{e^7}

Solution

simplify

5 e^{7}

Solution

e^{\frac{7}{5}}

+1

Decimal

4.05519 \dots

Solution steps

5 e^{7}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (e^{7})^{\frac{1}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{7 \cdot \frac{1}{5}}

7 \cdot \frac{1}{5} = \frac{7}{5}

= e^{\frac{7}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{e^7} ?
The solution to \sqrt[5]{e^7} is e^{7/5}